A cutting frame for use in a curd vat comprises one or more exchangeable longitudinal knives, and a support frame accommodating the knife/knives. The support frame comprises first and second transverse frame girders, and at least one longitudinal frame girder. The longitudinal frame girder at one end connects the first transverse frame girder; and the longitudinal frame girder at another end connects the second transverse frame girder. An opening in the first transverse frame girder and an opening in the second transverse frame girder together in pairs accommodate one of the longitudinal knives. At least one of the longitudinal knives comprises a first knife lock for releasable locking the knife into a locked position onto the frame, and the frame comprises a second knife lock for releasable locking the longitudinal knife into a locked position onto the frame by engagement of the first knife lock with the second knife lock.